2019
DOI: 10.1063/1.5116910
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Ferroelectric domain structures and temperature-misfit strain phase diagrams of K1-xNaxNbO3 thin films: A phase-field study

Abstract: Potassium-sodium niobate K1-xNaxNbO3 (KNN) is one of the most promising lead-free piezoelectric materials. While there have been many studies on the microstructures and properties of KNN ceramics, the phase transitions and ferroelectric domain structures of KNN thin films are not well understood. In this work, we employ three-dimensional (3D) phase-field simulations to obtain the ferroelectric domain structures of KNN (0 ≤ x ≤ 0.5) thin films under a range of temperatures (0 K to 1300 K) and equiaxial misfit s… Show more

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Cited by 26 publications
(17 citation statements)
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“…For local structures, the parameters were as follows: α 1 = 2.1 × 10 5 × (T-620) C −2 m 2 N, α 11 = −3.57 × 10 7 C −4 m 6 N, α 12 = 1.06 × 10 7 C −4 m 6 N, α 111 = 5.52 × 10 9 C −6 m 10 N, α 112 = 2.26 × 10 9 C −6 m 10 N and α 123 = 2.36 × 10 10 C −6 m 10 N, where only a cubic-orthorhombic phase transition can be found over the entire temperature range, and T is the temperature in Kelvin. The elastic constants and electrostrictive coefficients are supposed to be the same in the whole tetragonal ferroelectric structure and local structures: = 5.6 × 10 −12 m 2 N −1 , = −1.6 × 10 −12 m 2 N −1 , = 13.1 × 10 −12 m 2 N −1 , Q 11 = 0.166, Q 12 =−0.072, Q 44 = 0.042 48 – 50 . In the computer simulations, we used two-dimensional 128 × 128 discrete grid points and periodic boundary conditions.…”
Section: Methodsmentioning
confidence: 99%
“…For local structures, the parameters were as follows: α 1 = 2.1 × 10 5 × (T-620) C −2 m 2 N, α 11 = −3.57 × 10 7 C −4 m 6 N, α 12 = 1.06 × 10 7 C −4 m 6 N, α 111 = 5.52 × 10 9 C −6 m 10 N, α 112 = 2.26 × 10 9 C −6 m 10 N and α 123 = 2.36 × 10 10 C −6 m 10 N, where only a cubic-orthorhombic phase transition can be found over the entire temperature range, and T is the temperature in Kelvin. The elastic constants and electrostrictive coefficients are supposed to be the same in the whole tetragonal ferroelectric structure and local structures: = 5.6 × 10 −12 m 2 N −1 , = −1.6 × 10 −12 m 2 N −1 , = 13.1 × 10 −12 m 2 N −1 , Q 11 = 0.166, Q 12 =−0.072, Q 44 = 0.042 48 – 50 . In the computer simulations, we used two-dimensional 128 × 128 discrete grid points and periodic boundary conditions.…”
Section: Methodsmentioning
confidence: 99%
“…Here, α denotes the Landau coefficients determined under the stress-free condition [ 28 ], σ i denotes the i th component of stress in Voigt notation, s 11 , s 12 , and s 44 denote the elastic compliance constants of a cubic phase [ 29 , 30 , 31 ], and Q 11 , Q 12 , and Q 44 denote the corresponding electrostrictive coefficients between polarization and stress [ 32 , 33 ].…”
Section: Methodsmentioning
confidence: 99%
“…Methods based on a higher scale generally require inputs from lower-scale methods (for example, density functional theory (DFT), constructs potentials that can be used for molecular dynamics (MD) simulations), and all methods necessitate inputs from model-aided characterization in order to construct realistic simulation supercells. Examples are in this sense, the use of effective Hamiltonians to calculate macroscopic properties (like phase transitions) in substituted BTO systems [ 249 ], the use of MD calculations to determine dynamic disorder in cubic BTO [ 250 ], and the use of phase-field modeling to capture ferroelectric domain structures and their dynamics [ 251 , 252 ]. With increased computational resources, it can be expected that these approaches will thrive in the next five to ten years, allowing researchers to bridge several length scales with integrated DFT-MD and phenomenological modeling approaches.…”
Section: Future Directionsmentioning
confidence: 99%